Vector Optimization and Monotone Operators via Convex Duality : Recent Advances

Sorin-Mihai Grad

ISBN 10: 3319361902 / ISBN 13: 9783319361901

Published by Springer International Publishing, 2016

About this Item

Druck auf Anfrage Neuware - Printed after ordering - This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

Seller Inventory # 9783319361901

Bibliographic Details

• Title: Vector Optimization and Monotone Operators via Convex Duality : Recent Advances
• Publisher: Springer International Publishing
• Publication Date: 2016
• Language: English
• ISBN 10: 3319361902
• ISBN 13: 9783319361901
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 441 grams

About this title

Synopsis

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

About the Author

Sorin-Mihai Grad is currently working within the Faculty of Mathematics of Chemnitz University of Technology, Germany, where he achieved his PhD in 2006 and his Habilitation in 2014. He is co-author of the book "Duality in Vector Optimization" (Springer, 2009).